Sharp maximal inequalities and commutators on Morrey spaces with non-doubling measures
نویسندگان
چکیده
In this paper, related to RBMO, we prove the sharp maximal inequalities for the Morrey spaces with the measure μ satisfying the growth condition. As an application we obtain the boundedness of commutators for these spaces.
منابع مشابه
Vector - valued sharp maximal inequality on the Morrey spaces with non - doubling measures
In this paper we consider the vector-valued extension of the Fefferman-Stein-Stronberg sharp maximal inequality under growth condition. As an application we obtain the vectorvalued extension of the boundedness of the commutator. Furthermore we prove the boundedness of the commutator.
متن کاملSome weighted inequalities for Hausdorff operators and commutators
In this paper, we consider the problem of boundedness of Hausdorff operator on weighted central Morrey spaces. In particular, we obtain sharp bounds for Hausdorff operators on power weighted central Morrey spaces. Analogous results for the commutators of Hausdorff operators when the symbol functions belong to weighted central-BMO spaces are obtained as well.
متن کاملA Vector-valued Sharp Maximal Inequality on Morrey Spaces with Non-doubling Measures
We consider the vector-valued extension of the Fefferman–Stein– Strömberg sharp maximal inequality under growth condition. As an application we obtain a vector-valued extension of the boundedness of the commutator. Furthermore, we prove the boundedness of the commutator. 2000 Mathematics Subject Classification: Primary 42B35; Secondary 42B25.
متن کاملSome Multi-sublinear Operators on Generalized Morrey Spaces with Non-doubling Measures
In this paper the boundedness for a large class of multisublinear operators is established on product generalized Morrey spaces with non-doubling measures. As special cases, the corresponding results for multilinear Calderón-Zygmund operators, multilinear fractional integrals and multi-sublinear maximal operators will be obtained.
متن کاملMorrey spaces for non-doubling measures
We give a natural definition of the Morrey spaces for Radon measures which may be non-doubling but satisfy the growth condition. In these spaces we investigate the behavior of the maximal operator, the fractional integral operator, the singular integral operator and their vector-valued extensions.
متن کامل